Middle School

Eleven more than four times a number equals the number minus 7. Find the number.

Answer :

For this case we have to:

x: Let the variable representing the unknown number

We algebraically rewrite the given expression:

Eleven more than four times a number, is represented as:

[tex]11 + 4x[/tex]

The number less 7, is represented as:

[tex]x-7[/tex]

Thus, the expression is:

[tex]11 + 4x = x-7\\11 + 4x-x = -7\\11 + 3x = -7\\3x = -7-11[/tex]

Equal signs are added and the same sign is placed:

[tex]3x = -18\\x = - \frac {18} {3}\\x = -6[/tex]

So, the unknown number is -6

Answer:

[tex]x = -6[/tex]